Details

Time bar (total: 15.5s)

sample3.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75%

Results
71.0ms61×body2560valid
54.0ms75×body1280valid
17.0ms36×body640valid
6.0ms56×body80valid
6.0ms2×body5120valid
5.0ms15×body320valid
2.0ms11×body160valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04214
19914
222214
340214
467614
592814
6111614
7120614
8136814
9138014
10138014

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 47.0b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (+ (* y 2.0) 1.0) z) t)
2.5b
(* (* (+ (* a 2.0) 1.0) b) t)
36.2b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
36.3b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×associate-*l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 54
Calls
4 calls:
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
10.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
2.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series40.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
12.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
12.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0371438
11835354
25001354

prune253.0ms

Filtered
50 candidates to 66 candidates (-32.0%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New481866
Fresh000
Picked101
Done000
Total491867

Merged error: 42.4b

Counts
67 → 18

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* a 2.0) 1.0) b)
0.2b
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.5b
(* (* (+ (* a 2.0) 1.0) b) t)
36.2b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
16×pow1 add-cbrt-cube
10×add-sqr-sqrt
9×associate-*r* prod-exp
8×add-cube-cbrt *-un-lft-identity
7×pow-prod-down cbrt-unprod
6×associate-*l/
5×associate-*l*
4×add-log-exp
3×*-commutative
2×flip3-+ flip-+
1×1-exp unswap-sqr
Counts
4 → 66
Calls
4 calls:
6.0ms
(* (+ (* a 2.0) 1.0) b)
5.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
7.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series49.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (+ (* a 2.0) 1.0) b)
21.0ms
(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
9.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
12.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0319551
11335448
25001444

prune318.0ms

Filtered
54 candidates to 78 candidates (-44.4%)
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New582078
Fresh21517
Picked101
Done000
Total613596

Merged error: 40.5b

Counts
96 → 35

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune190.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03434
Picked011
Done000
Total03535

Merged error: 40.5b

Counts
35 → 35

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
2.0b
(* (+ (* a 2.0) 1.0) (* b t))
36.3b
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
13×pow1 add-cbrt-cube
8×prod-exp
6×pow-prod-down cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*r* associate-*l*
3×add-log-exp
2×associate-*l/ *-commutative
1×flip3-+ 1-exp flip-+
Counts
3 → 46
Calls
3 calls:
5.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
7.0ms
(* (+ (* a 2.0) 1.0) (* b t))
2.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series43.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
9.0ms
(* (+ (* a 2.0) 1.0) (* b t))
12.0ms
(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0279438
11080352
24023348
35001348

prune79.0ms

Filtered
38 candidates to 55 candidates (-44.7%)
Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New48755
Fresh42933
Picked101
Done011
Total533790

Merged error: 40.5b

Counts
90 → 37

regimes3.4s

Accuracy

0% (4.4b remaining)

Error of 44.4b against oracle of 39.9b and baseline of 44.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample7.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75%

Results
2.2s1824×body2560valid
1.5s2320×body1280valid
497.0ms1123×body640valid
197.0ms1896×body80valid
176.0ms541×body320valid
111.0ms40×body5120valid
56.0ms256×body160valid

Profiling

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